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Real and Convex Analysis

  • Textbook
  • © 2013

Overview

Authors:
  1. Erhan Çınlar

    1. Dept. Operations Research &, Financial Engineering, Princeton University, Princeton, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Robert J. Vanderbei

    1. , Department of ORFE, Princeton University, Princeton, USA

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    You can also search for this author in PubMed   Google Scholar

  • First undergraduate text that provides accessible introduction to real and convex analysis
  • Top authors from Princeton University (both published previously successful books)
  • Lots of examples and exercises?

Part of the book series: Undergraduate Texts in Mathematics (UTM)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Sets and Functions

    • Erhan Çınlar, Robert J. Vanderbei
    Pages 1-21

  3. Metric Spaces

    • Erhan Çınlar, Robert J. Vanderbei
    Pages 23-45

  4. Functions on Metric Spaces

    • Erhan Çınlar, Robert J. Vanderbei
    Pages 47-63

  5. Differential and Integral Equations

    • Erhan Çınlar, Robert J. Vanderbei
    Pages 65-84

  6. Convexity

    • Erhan Çınlar, Robert J. Vanderbei
    Pages 85-99

  7. Convex Optimization

    • Erhan Çınlar, Robert J. Vanderbei
    Pages 101-113

  8. Measure and Integration

    • Erhan Çınlar, Robert J. Vanderbei
    Pages 115-153

  9. Back Matter

    Pages 155-161
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Keywords

About this book

This book offers a first course in analysis for scientists and engineers. It can be used at the advanced undergraduate level or as part of the curriculum in a graduate program. The book is built around metric spaces. In the first three chapters, the authors lay the foundational material and cover the all-important “four-C’s”: convergence, completeness, compactness, and continuity. In subsequent chapters, the basic tools of analysis are used to give brief introductions to differential and integral equations, convex analysis, and measure theory. The treatment is modern and aesthetically pleasing. It lays the groundwork for the needs of classical fields as well as the important new fields of optimization and probability theory.

Reviews

From the reviews:

“The purpose of this slim volume is to serve as a (very quick) introduction to analysis for advanced undergraduate or graduate students in science and engineering. Einlar and Vanderbei (both, Princeton) base this introduction to analysis on metric spaces. … Summing Up: Recommended. Upper-division undergraduates and graduate students.” (D. Robbins, Choice, Vol. 50 (11), July, 2013)

Authors and Affiliations

  • Dept. Operations Research &, Financial Engineering, Princeton University, Princeton, USA

    Erhan Çınlar

  • , Department of ORFE, Princeton University, Princeton, USA

    Robert J. Vanderbei

About the authors

Erhan Cinlar, Professor and former Chair of Operations Research and Financial Engineering, Princeton University Robert J. Vanderbei, Professor and former Chair of Operations Research and Financial Engineering, Princeton University

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